Question
Download Solution PDFWhat is the possible value of (a + b + c) – 3 , if a2 + b2 + c2 = 9 and ab + bc + ca = 8?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
a2 + b2 + c2 = 9 and ab + bc + ca = 8
Concept used:
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
Calculation:
(a + b + c)2 = 9 + 2 × 8
⇒ 9 + 16
⇒ 25
So, (a + b + c ) = 5
Now,
(a + b + c) – 3 = 5 - 3
⇒ 2
∴ The required answer is 2.
Last updated on Jul 21, 2025
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